Question: Exercise 3: Here, We Will Study Permutations Of The Letters In A Word: ‘XXXL’ A) If The Order Of Every Letter In Your Word Counts Write Down All Different Words You Can Make (The Words Don’t Have To Mean Anything ! ). B) How Many Different Words Could You Make In A) ? C) Now, If The Order Of The Same Letters Don’t Count, Write Down All Different Words You
Exercise 3:
Here, we will study Permutations of the letters in a word: ‘XXXL’
a) If the order of every letter in your word counts write down all different words you can make (the words don’t have to
mean anything ! ).
b) How many different words could you make in a) ?
c) Now, if the order of the same letters don’t count, write down all different words you can make (the words don’t have to mean anything). That is, for example, P1A1P2A2 and P2A1P1A2 now counts as one word.
How many different words can you make now ?
d) Only using factorials, can you say what the answer to b) is ?
Only using a ratio of factorials, can you say what the answer to c) is ?
( example of a factorial is 5!=5*4*3*2*1 )
